I am not very sure of BSc(CBZ) acceptance for CDS.
But I can provide you these links to check out:
These are the official sites of the Indian Airforce. You can check the career options from these sites.
Through these links, you can also check out which branch (flying or technical or non technical) you are eligible.
Also, please note that, CDS is not the only entrance for AFA. You have options like AFCAT and NCC Special Entry also. You can check these also through the links provided.
To be eligible for Airforce Academy candidate should Bachelor's Degree from a recognised University with Physics and Mathematics at 10+2 level or Bachelor degree in engineering. So if you satisfy the above criteria you will be eligible for Airforce Academy. Either you will need Physics and Mathematics at 10+2 level or Bachelor degree in engineering. If you had Physics and Mathematics at your 10+2 level you will be eligible with any Bachelor's Degree if not you will need to do Bachelor degree in engineering.